This is an announcement for the paper “The best constant in the Khintchine inequality of the Orlicz space $L_{\Phi_2}$ for equidistributed random variables on spheres” by Hauke Dirksen.

Abstract: We compute the best constant in the Khintchine inequality for equidistributed random variables on the $N$-sphere in the Orlicz space $L_{\Phi_2}$.

The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1603.02471